Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können am Montag, 6.2. und Dienstag, 7.2. keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted on Monday, Feb. 6 and Tuesday, Feb. 7.)
Type of Publication: | Journal article |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1hvvqnrwrab710 |
Author: | Denk, Robert; Kupper, Michael; Nendel, Max |
Year of publication: | 2021 |
Published in: | Journal of Evolution Equations ; 21 (2021). - pp. 2491-2521. - Springer. - ISSN 1424-3199. - eISSN 1424-3202 |
DOI (citable link): | https://dx.doi.org/10.1007/s00028-021-00693-3 |
Summary: |
In this paper, we investigate convex semigroups on Banach lattices with order continuous norm, having Lp-spaces in mind as a typical application. We show that the basic results from linear C0-semigroup theory extend to the convex case. We prove that the generator of a convex C0-semigroup is closed and uniquely determines the semigroup whenever the domain is dense. Moreover, the domain of the generator is invariant under the semigroup, a result that leads to the well-posedness of the related Cauchy problem. In a last step, we provide conditions for the existence and strong continuity of semigroup envelopes for families of C0-semigroups. The results are discussed in several examples such as semilinear heat equations and nonlinear integro-differential equations.
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Subject (DDC): | 510 Mathematics |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
Refereed: | Unknown |
DENK, Robert, Michael KUPPER, Max NENDEL, 2021. Convex semigroups on Lp-like spaces. In: Journal of Evolution Equations. Springer. 21, pp. 2491-2521. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00693-3
@article{Denk2021Conve-53493, title={Convex semigroups on Lp-like spaces}, year={2021}, doi={10.1007/s00028-021-00693-3}, volume={21}, issn={1424-3199}, journal={Journal of Evolution Equations}, pages={2491--2521}, author={Denk, Robert and Kupper, Michael and Nendel, Max} }
Denk_2-1hvvqnrwrab710.pdf | 40 |